Abstract
In this paper we compute the equivariant Chern character associated with the Dirac operator using the cyclic cocycle formula developed by Connes and Moscovici, when a countable discrete group acts properly on a smooth compact spin Riemannian manifold of even dimension. Canonical order calculus which is due to B. Simon is used to simplify the computations. Finally observing that this equivariant Dirac cyclic cocycle is a well de ned element of the delocalized cohomology, we pair it with an equivariant K-theory idempotent.
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